Search results for "Singular boundary method"

showing 3 items of 23 documents

A numerical meshless particle method in solving the magnetoencephalography forward problem

2012

In this paper, a numerical meshless particle method is presented in order to solve the magnetoencephalography forward problem for analyzing the complex activation patterns in the human brain. The forward problem is devoted to compute the scalp potential and magnetic field distribution generated by a set of current sources representing the neural activity, and in this paper, it has been approached by means of the smoothed particle hydrodynamics method suitably handled. The Poisson equation generated by the quasi-stationary Maxwell's curl equations, by assuming Neumann boundary conditions has been considered, and the current sources have been simulated by current dipoles. The adopted meshless…

Regularized meshless methodSingular boundary methodComputer Science ApplicationsSmoothed-particle hydrodynamicssymbols.namesakeClassical mechanicsMaxwell's equationsMesh generationModeling and SimulationNeumann boundary conditionsymbolsApplied mathematicsElectrical and Electronic EngineeringPoisson's equationBoundary element methodMathematicsInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields
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Internal spring distribution for quasi brittle fracture via Symmetric Boundary Element Method

2009

Abstract In this paper the symmetric boundary element formulation is applied to the fracture mechanics problems for quasi brittle materials . The basic aim of the present work is the development and implementation of two discrete cohesive zone models using Symmetric Galerkin multi-zone Boundary Elements Method . The non-linearity at the process zone of the crack will be simulated through a discrete distribution of nodal springs whose generalized (or weighted) stiffnesses are obtainable by the cohesive forces and relative displacements modelling. This goal is reached coherently with the constitutive relation σ − Δ u that describes the interaction between mechanical and kinematical quantities…

SGBEM spring distribution multidomain closed form coefficientsMechanical EngineeringMathematical analysisGeneral Physics and AstronomyGeometryFracture mechanicsSingular boundary methodBoundary knot methodFinite element methodMechanics of MaterialsComputational mechanicsGeneral Materials ScienceBoundary value problemGalerkin methodSettore ICAR/08 - Scienza Delle CostruzioniBoundary element methodMathematics
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Mass-flux-based outlet boundary conditions for the lattice Boltzmann method

2009

We present outlet boundary conditions for the lattice Boltzmann method. These boundary conditions are constructed with a mass-flux-based approach. Conceptually, the mass-flux-based approach provides a mathematical framework from which specific boundary conditions can be derived by enforcing given physical conditions. The object here is, in particular, to explain the mass-flux-based approach. Furthermore, we illustrate, transparently, how boundary conditions can be derived from the emerging mathematical framework. For this purpose, we derive and present explicitly three outlet boundary conditions. By construction, these boundary conditions have an apparent physical interpretation which is fu…

Statistics and ProbabilityMathematical analysisMason–Weaver equationBoundary conformal field theoryStatistical and Nonlinear PhysicsDifferent types of boundary conditions in fluid dynamicsSingular boundary methodBoundary knot methodBoundary conditions in CFDFree boundary problemBoundary value problemStatistical physicsStatistics Probability and UncertaintyMathematicsJournal of Statistical Mechanics: Theory and Experiment
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